Non linear 8x8 system

[libegafrate]

Hello guys, after trying to solve an optimization problem of 2 variables and 3 inequality constraints using lagrangian multipliers an 8x8 system emerged looking like this
1825.4x +1095.6y + λ1 - λ3 = 8837.2
1095.6x + 23027.2y - λ2 = 124923
2sλ1 = 0
2tλ2 = 0
2pλ3 = 0
x - 190 + s^2 = 0
y - 40 + t^2 = 0
110 - x + p^2 = 0

and I have no idea how to tackle it.
Do you have any suggestion?

 

[Deleted member 4993]

Hello guys, after trying to solve an optimization problem of 2 variables and 3 inequality constraints using lagrangian multipliers an 8x8 system emerged looking like this
1825.4x +1095.6y + λ1 - λ3 = 8837.2
1095.6x + 23027.2y - λ2 = 124923
2sλ1 = 0
2tλ2 = 0
2pλ3 = 0
x - 190 + s^2 = 0
y - 40 + t^2 = 0
110 - x + p^2 = 0

and I have no idea how to tackle it.
Do you have any suggestion?

Please post the complete problem.

Please share work in deriving the equations posted above (a photograph would be good)

 

[libegafrate]

Hello Subhotosh, this is the work that I've done. Thank you!